56 citations · 161 across the 21 of their papers we have counts for
6 papers · 1 filter
The Maximum Likelihood Degree of Toric Models is Monotonic
Carlos Améndola, Janike Oldekop, Maximilian Wiesmann
We settle a conjecture by Coons and Sullivant stating that the maximum likelihood (ML) degree of a facial submodel of a toric model is at most the ML degree of the model itself. We…
Computing Path Signature Varieties in Macaulay2
Carlos Améndola, Angelo El Saliby, Felix Lotter +1
The signature of a path is a non-commutative power series whose coefficients are given by certain iterated integrals over the path coordinates. This series almost uniquely characte…
The Maximum Likelihood Degree of Linear Spaces of Symmetric Matrices
Carlos Améndola, Lukas Gustafsson, Kathlén Kohn +2
We study multivariate Gaussian models that are described by linear conditions on the concentration matrix. We compute the maximum likelihood (ML) degrees of these models. That is,…
Computing Tropical Varieties in Macaulay2
Carlos Améndola, Kathlén Kohn, Sara Lamboglia +5
We introduce a package for doing tropical computations in Macaulay2. The package draws on the functionality of Gfan and Polymake while making the process as simple as possible for…
Solving Parameterized Polynomial Systems with Decomposable Projections
Carlos Améndola, Julia Lindberg, Jose Israel Rodriguez
The Galois group of a parameterized polynomial system of equations encodes the structure of the solutions. This monodromy group acts on the set of solutions for a general set of pa…
Moment Varieties of Gaussian Mixtures
Carlos Améndola, Jean-Charles Faugère, Bernd Sturmfels
The points of a moment variety are the vectors of all moments up to some order of a family of probability distributions. We study this variety for mixtures of Gaussians. Following…